Please rewrite the follow paragraph with mord advanced and scientific expression Microrheology probes the microscopic characteristics of complex materials and has been extensively studied in recent de

Microrheology, a technique widely explored in recent years, seeks to investigate the microscopic properties of complex materials. In this study, we introduce a novel optical approach utilizing time-evolving speckles and optical vortices as virtual tracers, eliminating the need for additional probe particles. By analyzing the trajectories and mean square displacement (MSD) of optical vortices within speckles from both homogeneous and heterogeneous scattering media, we observe that the subdiffusive motion of the vortices, which mimics the behavior of particles in a viscoelastic environment, exhibits distinct dynamics depending on the homogeneity of the media. Furthermore, we validate the microrheology technique by establishing a direct correlation between the MSD of vortices and the viscoelastic properties of the material. Additionally, we demonstrate the ability to extract the loss angle of the material by examining the diffusive exponent of the vortices, highlighting the potential for simultaneous measurement of the elasticity and viscosity of the media through vortex motion. This non-contact microrheology technique, utilizing optical vortex tracking, offers a unique pathway for investigating the mechanical properties and microstructure of diverse complex materials